Men and women in happy marriages tend to have lower bleed pr

Men and women in happy marriages tend to have lower bleed pressure than single people. A psychologist is interested in studying women with high bleed pressure. Systolic bleed pressure scores for women follow a normal distribution with mu = 110 and sigma = 25. Use the Distributions tool to help answer the questions that follow. The highest possible z-score that is still in the bottom 95% of the systolic blood pressure distribution is z = 0.670. Use this z-score to determine X, the corresponding systolic blood pressure score. This score, X, is the percentile of systolic blood pressure scores among women. The percentile rank of this score is

Solution

mu =110 sigma = 25

When z = 0.670

x = 110+25(0.670_

= 126.75

Percentile is the area below x = 95%

Rank = 0.670 (x-mu/sigma)